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Influence of Smoothing to the Inverse Finite Element Method for Acoustic Hot-Spot Identification

机译:光滑对声学热点识别逆有限元法的影响

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Detecting acoustic hot spots in closed interiors is a difficult and time demanding procedure. At the current state-of-the-art sound intensity measurements are conducted over the complete surface, to detect hot-spots where sound is transmitted into the cabin. Since this method is highly ineffective different solution approaches have been proposed to solve this problem, for example acoustic holography, inverse boundary element method and inverse finite element method. All the above mentioned methods use mathematical tools for the reconstruction of the sound field and have the difficulty that the problem is ill-posed. Therefore, all these methods need regularization techniques to find an acceptable solution. In general, the solution can be improved by using more information about the calculated system. In this paper the additional information for the regularization will be achieved by smoothing the measurement data before starting the inverse calculation. This results in a better starting point, since the smoothed measured data is closer to the correct data. The approach described in this paper models the sound field in the frequency domain using finite elements. Measurements in the interior of the domain are used as boundary conditions for the finite element analysis. The differences between the inverse finite element calculation using smoothed measurement data and not smoothed data are shown. Additionally, the influence of the smoothing on different regularization mechanisms, e.g. truncated singular value decomposition (TSVD) or Tikhonov regularization is shown.
机译:检测闭合内饰中的声热点是难以及时的苛刻程序。在当前的最先进的声音强度测量,在完整的表面上进行,以检测声音被传输到机舱中的热点。由于该方法是高度效率的不同解决方法,以解决该问题,例如声学全息,逆边界元方法和逆有限元方法。所有上述方法都使用数学工具来重建声场并难以提出问题。因此,所有这些方法都需要正规化技术来找到可接受的解决方案。通常,通过使用有关计算系统的更多信息,可以提高解决方案。在本文中,将通过在开始逆计算之前平滑测量数据来实现正则化的附加信息。这导致更好的起点,因为平滑的测量数据更接近正确的数据。本文中描述的方法使用有限元模拟频域中的声场。域内部的测量用作有限元分析的边界条件。示出了使用平滑测量数据和不平滑数据的逆有限元计算之间的差异。另外,平滑对不同正则化机制的影响,例如,显示截断的奇异值分解(TSVD)或Tikhonov正规化。

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